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Unit 6 Factoring - Math 1 Foundations
Test Description: Factoring using grouping, difference of squares, and GCF.
Instructions: Answer all questions to get your test result.
1) What is the prime factorization of 120?
A
2*2*2*3
B
1*2*0
C
2*2*2*3*5
D
2*2*2*5
2) What is the prime factorization of 40?
A
2*2*2*5
B
2*2*2*2*5
C
2*5
D
2*2*2*2*2*7
3) What is the GCF between 30 and 60?
A
1
B
15
C
2
D
30
4) What is the GCF between 20 and 35?
A
4
B
5
C
10
D
1
5) Find the GCF of 24x^3-16x^2+8x.
A
16
B
8x
C
24x
D
8x^2
6) Find the GCF of 15x^3 - 35x^2 + 60x^4
A
35x^2
B
15x
C
5x^2
D
15x^2
7) Factor the following using Difference of Squares: 4x^2 - 49.
A
(2x - 7)(2x - 7)
B
(2x - 7)(2x + 7)
C
(4x - 7)(4x + 7)
D
(4x + 7)(4x +7)
8) Factor the following using Difference of Squares: 16x^4 - 81y^6.
A
(x^2 - y^3)(x^2 + y^3)
B
(4x^2 + 9y^3)(4x^2 + 9y^3)
C
(2x^2 - 3y^3)(2x^2 + 3y^3)
D
(4x^2 - 9y^3)(4x^2 + 9y^3)
9) Factor the following by grouping: 3pz-9p+5z-15.
A
(p - 5)(z+3)
B
(9p +5z)(5z-3)
C
(9p +5)(z+3)
D
(3p +5)(z-3)
10) Factor the following by grouping: 10x^2 - 5x +2x - 1
A
(x +1)(x - 1)
B
(10x +1)(2x + 1)
C
(5x +1)(2x - 1)
D
(5x +1)(x - 1)
11) If a polynomial is in the form a^2+b^2, what is automatically the answer?
A
Prime
B
Infinitely Many Solutions
C
0
D
1
12) When factoring, what do you always look for first?
A
Factoring By Grouping
B
GCF
C
4 terms
D
Difference of Squares
13) Factor the following: 169 - y^2
A
(12 - y)(12 + y)
B
(13 - y)(13 - y)
C
(13 - y)(13 + y)
D
(13 +y)(13 + y)
14) What is the prime factorization of 42?
A
1*2*3*4
B
2*3*3*7
C
2*2*3*4
D
2*3*7
15) Factor 14x^3 + 7x^2 - 28x
A
7 (2x^3 +x^2 -4x)
B
7x (2x^2 +x -4)
C
7x (3x -4)
D
4x (x^2 +7x -1)
16) Factor the following: 16d^10 - f^8
A
(8d^5 - f^4)(8d^5 - f^4)
B
(2d^5 + f^2)(2d^5 - f^2)
C
(4d^5 - f^4)(4d^5 + f^4)
D
(8d^5 - f^4)(8d^5 + f^4)
17) Find the GCF between 42 and 63.
A
7
B
21
C
6
D
42
18) Find the GCF for the following: 25x^4 - 5x^3 - 2x^2
A
x^2
B
5x
C
2x^2
D
2x
*select an answer for all questions
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